Research on the Fatigue Properties of Rejuvenated Asphalt Prepared by Waste Cooking Oil Pre-Desulfurized Crumb Tire Rubber

Fatigue cracking has hitherto been a crucial constraint on the development of reclaimed asphalt pavements attributed to the performance of rejuvenated asphalt binder. Therefore, it is extremely significant to evaluate the fatigue performance of rejuvenated asphalt precisely and objectively and to improve the fatigue life of rejuvenated asphalt binders. With preceding research in our group, this paper investigated the fatigue properties of waste rubber/oil (WRO) rejuvenated asphalt and universal rejuvenated asphalt by dynamic shear rheometer test (DSR). The applicability of common fatigue life evaluation indexes and the response to internal and external influences on the fatigue performance of rejuvenated asphalt were analyzed. It is demonstrated that Np20 corresponding to the mutagenesis of phase angle is physically significant and independent of the parameters including rejuvenator type, loading mode and loading level, which was recommended as the evaluation index for fatigue life of rejuvenated asphalt in this paper. The fatigue performance of both WRO and universal rejuvenated asphalt is found to decrease with loading frequency and loading level, but the fatigue life of WRO rejuvenated asphalt is comparatively superior to the latter, particularly at high loading frequencies and levels. Influenced by waste tire crumb rubber (WTCR), increasing the proportion of WTCR can improve the fatigue life of rejuvenated asphalt. When compared to other rejuvenated asphalt, RWRO@55 rejuvenated asphalt shows better fatigue performance and its fatigue life rebounds at high loading frequency. Consequently, the recommended mastic–oil ratio is 5:5. However, when the rheological recoverability compensation is considered, the fatigue lifetime evaluation of rejuvenated asphalt will be changed significantly, and therefore the fatigue performance evaluation of rejuvenated asphalt should consider the influence of rheological recoverability to develop a comprehensive evaluation system.


Introduction
The utilization of reclaimed asphalt pavement (RAP) provides a particularly preferable alternative to the construction of asphalt pavements due to the significant amount of aggregate and asphalt binder contained in RAP material, miraculously saving an abundant number of natural and financial resources, which is environmentally friendly and economical [1]. However, rejuvenated asphalt pavement is predisposed to fatigue cracking, and its fatigue life is generally associated with the properties of both mixture and asphalt binder, and the gradation and environmental factors [2][3][4]. According to the research of French Laboratoire Central des Ponts et Chaussées (LCPC), the fatigue failure of asphalt mixtures was predominantly caused by cracking or damage to asphalt binder [5]. Concurrently, by 20% as the fatigue life of asphalt. Additionally, the rate of dissipated energy change (RDEC) was developed by Carpenter [31,32] and Margaritis et al. [33] to evaluate the fatigue performance and damage state of asphalt binder. It was proved by Pitawala et al. [34] that RDEC is a useful method to evaluate the dissipated energy (DE) variation of asphalt. However, all of the evaluation indexes mentioned above are mechanically and energy based, of which the appropriateness to evaluate the fatigue performance of rejuvenated asphalt needs to be discussed when considering the complexity of the composition and properties of WRO rejuvenated asphalt.
In this paper, the fatigue life evaluation indexes and major influencing factors of rejuvenated asphalt are studied to evaluate the fatigue performance of WRO rejuvenated asphalt (RWRO) objectively, which is important to improve the fatigue and service life of recycled asphalt pavements and the recycling of waste pollutants such as RAP, WCO and WTCR. Firstly, fatigue tests were conducted on rejuvenated asphalt under different loading modes and loading levels by dynamic shear rheometer (DSR), by which the applicability of common fatigue life evaluation and internal and external influencing factors were analyzed. In addition, the effect of rheological recovery on fatigue performance was investigated based on a rheological recovery test. More importantly, the fatigue properties of RWRO and EVO rejuvenated asphalt (REVO, universal rejuvenated asphalt) were compared.

Asphalt, WTCR and WCO
The properties of aged asphalt obtained in RAP are susceptible to the effects of extracts, which may affect the performance of rejuvenated asphalt and test results. To obtain aged asphalt with stable performance, artificially aged asphalt was chosen rather than extracted RAP binder in this study [11,35,36]. One 70# matrix asphalt was aged at 163 • C for 85 min through a standard Rolling Thin Film Oven (RTFO, SHANGHAI CHANGJI GEOLOGICAL Inc., Shanghai, China) to obtain short-term aging asphalt (70# RT) according to AASHTO T240. Furthermore, the 70#RT was aged for 20 h by pressure aging vessel (PAV, Prentex Inc., Dallas, TX, USA) at 100 • C and 2.1 mpa to obtain long-term aging asphalt (70#PAV) according to AASHTO R28. The primary technical specifications of matrix asphalt and aged asphalt are shown in Table 1, and the detailed component of WTCR, a 40-mesh radial tire, is presented in Table 2. The WTCR was a 40-mesh radial tire, and the component of WTCR is presented in Table 2. The fundamental characteristics and major aliphatic acid contents of WCO utilized in this paper are listed in Table 3.

. Preparation of WRO Rejuvenator
The WTCR and WCO were accurately weighed in mass ratios (3:7, 4:6, and 5:5), homogenized and then placed at room temperature for 2 h based on the research of our group [11][12][13][14][15][16]. Subsequently, the mixture was put into the reaction device ( Figure 1) and heated to 260 • C ± 10 • C at 8 • C/min with continuous insulation for 1 h. The stirring speed was 250-300 rpm. Additionally, the preparation process was proceeded at standard atmospheric pressure, where the atmosphere in the reaction apparatus was air.

. Preparation of WRO Rejuvenator
The WTCR and WCO were accurately weighed in mass ratios (3:7, 4:6, and 5:5), homogenized and then placed at room temperature for 2 h based on the research of our group [11][12][13][14][15][16]. Subsequently, the mixture was put into the reaction device ( Figure 1) and heated to 260 °C ± 10 °C at 8 °C/min with continuous insulation for 1 h. The stirring speed was 250-300 rpm. Additionally, the preparation process was proceeded at standard atmospheric pressure, where the atmosphere in the reaction apparatus was air.

Preparation of Rejuvenated Asphalt
The 70#PAV was melted in an oven at 150 °C and gently poured into the heating device. Then, the rejuvenators (Two commercial rejuvenators, Evoflex@8182 and Evoflex@ca3, and three WRO rejuvenators, of which the rubber/oil ratio was 5:5, 3:7 and 4:6, named WRO@55, WRO@37 and WRO@46, respectively.) were added to the 70#PAVwith a content of 6 wt.%, 8 wt.%, and 10 wt.%, respectively. Ultimately, all mixtures were heated for 0.5~1 h with a stirring speed of 300~350 rpm at 160 ± 5 °C. The asphalt samples utilized in this research are detailed in Table 4 and the basic technical indexes of rejuvenated asphalt (8% rejuvenator) are shown in Table 5.

Preparation of Rejuvenated Asphalt
The 70#PAV was melted in an oven at 150 • C and gently poured into the heating device. Then, the rejuvenators (Two commercial rejuvenators, Evoflex@8182 and Evoflex@ca3, and three WRO rejuvenators, of which the rubber/oil ratio was 5:5, 3:7 and 4:6, named WRO@55, WRO@37 and WRO@46, respectively.) were added to the 70#PAVwith a content of 6 wt.%, 8 wt.%, and 10 wt.%, respectively. Ultimately, all mixtures were heated for 0.5~1 h with a stirring speed of 300~350 rpm at 160 ± 5 • C. The asphalt samples utilized in this research are detailed in Table 4 and the basic technical indexes of rejuvenated asphalt (8% rejuvenator) are shown in Table 5.  Depending on the TS test, the mechanical properties of rejuvenated asphalt will decrease, which is mainly manifested by a sustained decrease of complex modulus (G*) and a sustained increase of phase angle (δ). Consequently, the fatigue behavior of asphalt has been characterized from a phenomenological and energetic perspective by relevant scholars, as shown in Table 6. Table 6. Common fatigue life evaluation indicators.

Rheological Recovery Test of Rejuvenated Asphalt
The variation in complex modulus of rejuvenated asphalt is implemented to characterize the restoration of rheological properties. The test was primarily performed by Dynamic Shear Rheometer (DSR, AR 1500 ex Instrument, TA Co., New Castle, DE, USA) in strain-controlled mode at 4.5% with an 8 mm-diameter parallel plate geometry (2 mm gap). The load frequency was 10 Hz, and the test temperature was 20 • C.
The rheological recovery test was conducted in the fatigue-healing-fatigue test mode: the first stage was promptly stopped when the complex modulus dropped to 40% initial complex modulus; then, the damaged asphalt was heated to different temperatures (30 • C, 50 • C, 70 • C), which were subsequently healed for 5 min, 10 min, 20 min, and 40 min; ultimately, the rejuvenated asphalt was cooled to 20 • C and subjected to the original fatigue parameters for rheological recovery test ( Figure 2).

Applicability Analysis of Common Evaluation Indicators
The fatigue lifetimes of RWRO and REVO are evaluated in this section based on the above indicators (Table 6), as shown in Tables 7-9, where the applicability of repeatedly used evaluation indicators is further discussed to determine the appropriate fatigue life- where, RF is the recovery degree of fatigue life; N f a is the fatigue life after healing; and N f b is the fatigue life before healing.

Applicability Analysis of Common Evaluation Indicators
The fatigue lifetimes of RWRO and REVO are evaluated in this section based on the above indicators (Table 6), as shown in Tables 7-9, where the applicability of repeatedly used evaluation indicators is further discussed to determine the appropriate fatigue lifetime evaluation indicators. Table 7. Fatigue life of rejuvenated asphalt (4.5% strain-control).   Table 9. Fatigue life of rejuvenated asphalt (6.5% strain-control). The fatigue life of RWRO is better than that of REVO according to Tables 7-9. Simultaneously, N RG* and N fm cannot evaluate the fatigue life of rejuvenated asphalt in the strain-controlled mode. It is revealed in Figure 3 that N fm is influenced by the loading mode with significant discretization when adopting the strain-controlled loading mode, which cannot evaluate the fatigue life of rejuvenated asphalt and was also proven by Wen et al. [24]. The change rate of complex modulus (RG*) oscillates in the strain-control mode without obvious mutations according to Figure 4, which makes it impracticable to determine the fatigue life of rejuvenated asphalt. It is attributed to the changes in the components of asphalt after aging, which are manifested as a decrease in the aromatic content and an increase in the asphaltene content, causing a hardening of the whole asphalt colloidal structure and an increase in the complex modulus [17]. Although part of the aged asphalt can be softened by rejuvenators, the rejuvenated asphalt contains some aged components that can result in strong resistance to deformation, and the dissipated energy does not change significantly in the strain-controlled mode, instead appearing as a minor change. In addition, the increased complex modulus can provide resistance to the decay rate of the modulus, making no significant changes in complex modulus between adjacent loading times in the strain-controlled mode.
The change rate of complex modulus (RG*) oscillates in the strain-control mode without obvious mutations according to Figure 4, which makes it impracticable to determine the fatigue life of rejuvenated asphalt. It is attributed to the changes in the components of asphalt after aging, which are manifested as a decrease in the aromatic content and an increase in the asphaltene content, causing a hardening of the whole asphalt colloidal structure and an increase in the complex modulus [17]. Although part of the aged asphalt can be softened by rejuvenators, the rejuvenated asphalt contains some aged components that can result in strong resistance to deformation, and the dissipated energy does not change significantly in the strain-controlled mode, instead appearing as a minor change. In addition, the increased complex modulus can provide resistance to the decay rate of the modulus, making no significant changes in complex modulus between adjacent loading times in the strain-controlled mode.   The change rate of complex modulus (RG*) oscillates in the strain-control mode without obvious mutations according to Figure 4, which makes it impracticable to determine the fatigue life of rejuvenated asphalt. It is attributed to the changes in the components of asphalt after aging, which are manifested as a decrease in the aromatic content and an increase in the asphaltene content, causing a hardening of the whole asphalt colloidal structure and an increase in the complex modulus [17]. Although part of the aged asphalt can be softened by rejuvenators, the rejuvenated asphalt contains some aged components that can result in strong resistance to deformation, and the dissipated energy does not change significantly in the strain-controlled mode, instead appearing as a minor change. In addition, the increased complex modulus can provide resistance to the decay rate of the modulus, making no significant changes in complex modulus between adjacent loading times in the strain-controlled mode.   Furthermore, it can be convincingly demonstrated from Tables 7-9 that the evaluation results of N 1 and N p are not consistent at different strain levels, with susceptibility to the influence of loading pattern and rejuvenator type. When the strain-controlled levels are 4.5% and 5.5%, the evaluation results of N f50 and N p20 show that the fatigue life of REVO@8182 is better than that of REVO@CA3, which, however, is completely opposite to the evaluation results for N 1 and N p . However, when the strain is controlled at 6.5%, the evaluation results for N f50 , N 1 , N p and N p20 are convergent, i.e., the fatigue life of REVO@8182 is better than that of REVO@CA3. It is indicated that the evaluation results of N 1 and N p are susceptible to the influence of load level. Additionally, the evaluation results for RWRO@55, RWRO@37 and RWRO@46 are consistent under various loading modes, without being influenced by loading levels, which suggests that the evaluation results of N 1 and N p are dependent on the rejuvenator type. Additionally, the fatigue life evaluation results of REVO@8182 and REVO@CA3 are completely opposite under stress-controlled and strain-controlled modes ( Figure 5), while those of N f50 and N p20 are consistent ( Figure 6), indicating that N 1 and N p are equally affected by the loading mode.
Through the preceding analysis, the following conclusions can be found.
• N RG* and N fm cannot evaluate the fatigue life of rejuvenated asphalt under the straincontrol mode; • N 1 and N P are definitely affected by the strain level, loading model, and the type of rejuvenator, which makes it unavailable to evaluate the effectiveness of the results; • N f50 and N p20 are independent of loading mode and strain level, so they can be recommended as the evaluation indicators for fatigue life of rejuvenated asphalt.
of N1 and Np are susceptible to the influence of load level. Additionally, the evaluation results for RWRO@55, RWRO@37 and RWRO@46 are consistent under various loading modes, without being influenced by loading levels, which suggests that the evaluation results of N1 and Np are dependent on the rejuvenator type. Additionally, the fatigue life evaluation results of REVO@8182 and REVO@CA3 are completely opposite under stresscontrolled and strain-controlled modes ( Figure 5), while those of Nf50 and Np20 are consistent ( Figure 6), indicating that N1 and Np are equally affected by the loading mode.  Through the preceding analysis, the following conclusions can be found.  NRG* and Nfm cannot evaluate the fatigue life of rejuvenated asphalt under the straincontrol mode;  N1 and NP are definitely affected by the strain level, loading model, and the type of rejuvenator, which makes it unavailable to evaluate the effectiveness of the results; of N1 and Np are susceptible to the influence of load level. Additionally, the evaluation results for RWRO@55, RWRO@37 and RWRO@46 are consistent under various loading modes, without being influenced by loading levels, which suggests that the evaluation results of N1 and Np are dependent on the rejuvenator type. Additionally, the fatigue life evaluation results of REVO@8182 and REVO@CA3 are completely opposite under stresscontrolled and strain-controlled modes ( Figure 5), while those of Nf50 and Np20 are consistent ( Figure 6), indicating that N1 and Np are equally affected by the loading mode.  Through the preceding analysis, the following conclusions can be found.  NRG* and Nfm cannot evaluate the fatigue life of rejuvenated asphalt under the straincontrol mode;  N1 and NP are definitely affected by the strain level, loading model, and the type of rejuvenator, which makes it unavailable to evaluate the effectiveness of the results;

Correlation Analysis of N f50 and N p20
The fatigue life evaluated with N f50 is higher than that with N p20 at all different strain levels, pursuant to Figure 7. This is because N f50 and N p20 correspond to different damage stages, with N f50 representing the "ultimate" fatigue life of asphalt, where macroscopic cracks emerge and accelerate until the specimen is destabilized and fails completely, and N p20 corresponding to the "yield" fatigue life of asphalt where microcracks develop rapidly and cumulatively. Additionally, these conclusions can be verified by comparing the complex modulus and phase angle associated with the assessment of N f50 and N p20 (Figure 8). However, Wen et al. [24] argued that the geometric failure location of N f50 corresponded to the sharp attenuation stage of fatigue damage, where the modified asphalt was approaching a state of complete fatigue damage. The phase angle corresponding to N p20 is smaller than that of N f50 , and the complex modulus for N p20 is larger than that of N f50 , indicating that there is less damage to asphalt with N p20 . Simultaneously, the phase angle that corresponds to N p20 is located at the inflection point of accelerated change in phase angle, with significant physical implications, which is consistent with the conclusion that the loading time corresponding to the inflection point of the phase angle change was taken as the fatigue life of asphalt in a related study [38]. Furthermore, the relationship between N p20 and N f50 is illustrated in Figure 9. There is a well-established linear relationship between N p20 and N f50 (R 2 greater than 0.95), with the slope of the regression line approximating 1, which suggests that the two fatigue life evaluation indicators are consistent under an identical experimental environment.
angle that corresponds to Np20 is located at the inflection point of accelerated change in phase angle, with significant physical implications, which is consistent with the conclusion that the loading time corresponding to the inflection point of the phase angle change was taken as the fatigue life of asphalt in a related study [38]. Furthermore, the relationship between Np20 and Nf50 is illustrated in Figure 9. There is a well-established linear relationship between Np20 and Nf50 (R 2 greater than 0.95), with the slope of the regression line approximating 1, which suggests that the two fatigue life evaluation indicators are consistent under an identical experimental environment.   Based on the above analysis, Nf50 and Np20 can both be used as the evaluation index of fatigue life of rejuvenated asphalt, but the physical significance and the damage state are significantly different. Additionally, the rejuvenated asphalt still contains some aged components, and the fundamental differences in compositions can lead to differences in viscoelasticity, which affects the deformation resistance of the material. It is worthwhile Figure 9. Correlation between N p20 and N f50 under strain/stress-control. Based on the above analysis, N f50 and N p20 can both be used as the evaluation index of fatigue life of rejuvenated asphalt, but the physical significance and the damage state are significantly different. Additionally, the rejuvenated asphalt still contains some aged components, and the fundamental differences in compositions can lead to differences in viscoelasticity, which affects the deformation resistance of the material. It is worthwhile to examine whether the fatigue performance of rejuvenated asphalt can be authentically reflected by exploiting the decay of asphalt complex modulus to 50% of its initial value to determine the fatigue life. Therefore, in this paper, N p20 is recommended as the evaluation index for fatigue life of rejuvenated asphalt, with its specific physical significance and fatigue state. When the initial loading frequency is 5 Hz, each rejuvenated asphalt shows excellent fatigue resistance. However, the fatigue life of each rejuvenated asphalt decreases significantly with the increase in loading frequency, which was consistent with Liao's findings [22,23]. According to Table 10, the fatigue life of REVO@8182, REVO@CA3, RWRO@55 and RWRO@37 decreases substantially when the loading frequency increases to 10 Hz, with an attenuation of more than 60%. Furthermore, when the loading frequency is increased to 15 Hz, the fatigue life of REVO@CA3, RWRO@37 and RWRO@46 continues to decrease, while that of RWRO@8182 and RWRO@55 keeps stable or rebounds slightly, indicating that the latter still has good fatigue performance under high-frequency loading. Moreover, it is demonstrated that RWRO can withstand high-frequency loading since its fatigue life is better than that of REVO at an identical loading frequency.  The fatigue capacity of RWRO will be changed by the ratio of rubber to oil. It can be observed that the fatigue life of RWRO@55 with more rubber does not consistently decrease with increasing loading frequency. This is because the inclusion of more WTCR can prevent the further development of cracks and increase the elastomeric component of colloids, which enhances its elastic recovery and improves its fatigue performance [15,19]. Furthermore, when comparing RWRO with a mastic-oil ratio of 3:7, 4:6 and 5:5, it is revealed that the overall fatigue life of RWRO increases with mastic-oil ratio under identical external loading conditions, which indicates that increasing the ratio of rubber to oil is   The fatigue capacity of RWRO will be changed by the ratio of rubber to oil. It can be observed that the fatigue life of RWRO@55 with more rubber does not consistently decrease with increasing loading frequency. This is because the inclusion of more WTCR can prevent the further development of cracks and increase the elastomeric component of colloids, which enhances its elastic recovery and improves its fatigue performance [15,19]. Furthermore, when comparing RWRO with a mastic-oil ratio of 3:7, 4:6 and 5:5, it is revealed that the overall fatigue life of RWRO increases with mastic-oil ratio under identical external loading conditions, which indicates that increasing the ratio of rubber to oil is beneficial to improve the fatigue life of rejuvenated asphalt. However, the ratio cannot be increased indefinitely, and the diffusion capacity of WRO and other properties of rejuvenated asphalt should be considered. Figure 11 demonstrates the fatigue life of each rejuvenated asphalt at diverse loading levels. It can be recognized that the fatigue life of each rejuvenated asphalt decreases with the loading level under a strain-controlled mode. However, the response of rejuvenated asphalt to loading level is quite different because of the properties of rejuvenator. The N p20 of RWRO under each loading level is higher than that of REVO, which means RWRO with higher rubber content exhibits a better fatigue lifetime. In addition, the change rate of fatigue lives for RWRO and REVO are at an identical level based on Table 11, which indicates that RWRO and REVO are similar in fatigue sensitivity, but there is a significant discrepancy between their loading capacities.  To analyze the reasons for the above conclusions, rheological indicators are introduced in this paper. The initial phase angle and change rate of phase angle of RWRO are less than those of REVO, and its initial complex module is greater than that of REVO, as shown in Figure 12, indicating that RWRO shows improved resistance to deformation, which contributes to improving the fatigue life of rejuvenated asphalt. Therefore, WRO rejuvenator also provides modified effectiveness when compared with commercial rejuvenators, in which the WTCR component can improve the elastomeric recoverability and crack resistance of rejuvenated asphalt, lowering the impact of loading levels on the fatigue life of rejuvenated asphalt and guaranteeing that RWRO can withstand a higher loading level. In addition, when change rate of the phase angle is larger or lower, it can be ensured that the rejuvenated asphalt is minimally affected by loading levels according to Table 11 and Figure 12A. This is because a larger change rate of phase angle can promote a better flowability of the whole rejuvenated asphalt colloid, which may facilitate the selfhealing of microcracks and alleviate the effect of increasing loading levels on its fatigue life. When the change rate of the phase angle is smaller, an increase in the elastic compo-  To analyze the reasons for the above conclusions, rheological indicators are introduced in this paper. The initial phase angle and change rate of phase angle of RWRO are less than those of REVO, and its initial complex module is greater than that of REVO, as shown in Figure 12, indicating that RWRO shows improved resistance to deformation, which contributes to improving the fatigue life of rejuvenated asphalt. Therefore, WRO rejuvenator also provides modified effectiveness when compared with commercial rejuvenators, in which the WTCR component can improve the elastomeric recoverability and crack resistance of rejuvenated asphalt, lowering the impact of loading levels on the fatigue life of rejuvenated asphalt and guaranteeing that RWRO can withstand a higher loading level. In addition, when change rate of the phase angle is larger or lower, it can be ensured that the rejuvenated asphalt is minimally affected by loading levels according to Table 11 and Figure 12A. This is because a larger change rate of phase angle can promote a better flowability of the whole rejuvenated asphalt colloid, which may facilitate the self-healing of microcracks and alleviate the effect of increasing loading levels on its fatigue life. When the change rate of the phase angle is smaller, an increase in the elastic components is achieved, which can strengthen the resistance to deformation and also mitigate the effect of loading levels.

Influence of Rejuvenator and Rheological Recovery on Fatigue Life of Rejuvenated Asphalt
3.3.1. Rejuvenator Figure 13 demonstrates the fatigue life of RWRO and RWEO at different rejuvenator content levels. When the rejuvenator content is 8%, the best fatigue life is achieved with RWRO@46, while REVO@8182 is the worst. Instead, when the content reaches 10%, RWRO@55 shows the best fatigue life, with REVO@CA3 being the worst. This shows that the fatigue life of RWRO is higher than that of RWEO, irrespective of whether the rejuvenator content is 8% or 10%, which indicates that WRO rejuvenator can provide excellent fatigue modification capability that increases significantly with the rejuvenator contents and the ratios of rubber to oil. Furthermore, the fatigue life of REVO@CA3 and RWRO@46 decreases as the content of the rejuvenator increases, demonstrating that their rejuvenator content should not exceed 8%.   Figure 13 demonstrates the fatigue life of RWRO and RWEO at different rejuvenator content levels. When the rejuvenator content is 8%, the best fatigue life is achieved with RWRO@46, while REVO@8182 is the worst. Instead, when the content reaches 10%, RWRO@55 shows the best fatigue life, with REVO@CA3 being the worst. This shows that the fatigue life of RWRO is higher than that of RWEO, irrespective of whether the rejuvenator content is 8% or 10%, which indicates that WRO rejuvenator can provide excellent fatigue modification capability that increases significantly with the rejuvenator contents and the ratios of rubber to oil. Furthermore, the fatigue life of REVO@CA3 and RWRO@46 decreases as the content of the rejuvenator increases, demonstrating that their rejuvenator content should not exceed 8%.

Rheological Recovery
With extensive research, many scholars [39][40][41][42][43][44][45] have discovered that, unlike completely elastomeric materials, the characteristics of asphalt like viscoelasticity, wettability, diffusivity and fluidity can promote its self-healing under certain conditions, typically manifested as asphalt rheological recovery. Therefore, the fatigue performance of rejuvenated asphalt is also affected by rheological recovery. To evaluate the fatigue performance of rejuvenated asphalt comprehensively, this paper explored the influence of rheological recovery on the fatigue life of rejuvenated asphalt. Figure 14 presents the recovery degree of fatigue life for each rejuvenated asphalt under different healing conditions. It is found that an interval after the cessation of external loading can promote the fatigue life recovery of rejuvenated asphalt, which also proves the availability of rheological recovery. More significantly, the recovery degree of fatigue life for RWRO increases continuously with healing time, reaching more than 80%. Although the recovery degree of fatigue life is oscillating upwards for REVO, it can also be assumed that the fatigue performance of rejuvenated asphalt can be further recovered by prolonging the healing time. Furthermore, the viscosity and plasticity of asphalt will change with temperature, and the activation energy of viscous flow will also change when the temperature increases, which means that the rheological and fatigue recoverability of asphalt is temperature-dependent. As can be noticed from Figure 14B, the recovery degree of fatigue life is generally lower when the initial healing temperature is 30 °C, suggesting a lower healing temperature cannot effectively promote the recovery of fatigue life of rejuvenated asphalt. When the temperature reaches 50 °C, the recovery degree of fatigue life increases greatly, by more than 70%. However, when the temperature is further increased to 70 °C, the recovery degree of fatigue life is no longer significantly improved, or even decreases, indicating that the healing temperature cannot be excessive. Once the temperature limitation where the rheological diffusion of rejuvenated asphalt is exceeded, the recoverability will be seriously affected.

Rheological Recovery
With extensive research, many scholars [39][40][41][42][43][44][45] have discovered that, unlike completely elastomeric materials, the characteristics of asphalt like viscoelasticity, wettability, diffusivity and fluidity can promote its self-healing under certain conditions, typically manifested as asphalt rheological recovery. Therefore, the fatigue performance of rejuvenated asphalt is also affected by rheological recovery. To evaluate the fatigue performance of rejuvenated asphalt comprehensively, this paper explored the influence of rheological recovery on the fatigue life of rejuvenated asphalt. Figure 14 presents the recovery degree of fatigue life for each rejuvenated asphalt under different healing conditions. It is found that an interval after the cessation of external loading can promote the fatigue life recovery of rejuvenated asphalt, which also proves the availability of rheological recovery. More significantly, the recovery degree of fatigue life for RWRO increases continuously with healing time, reaching more than 80%. Although the recovery degree of fatigue life is oscillating upwards for REVO, it can also be assumed that the fatigue performance of rejuvenated asphalt can be further recovered by prolonging the healing time. Furthermore, the viscosity and plasticity of asphalt will change with temperature, and the activation energy of viscous flow will also change when the temperature increases, which means that the rheological and fatigue recoverability of asphalt is temperature-dependent. As can be noticed from Figure 14B, the recovery degree of fatigue life is generally lower when the initial healing temperature is 30 • C, suggesting a lower healing temperature cannot effectively promote the recovery of fatigue life of rejuvenated asphalt. When the temperature reaches 50 • C, the recovery degree of fatigue life increases greatly, by more than 70%. However, when the temperature is further increased to 70 • C, the recovery degree of fatigue life is no longer significantly improved, or even decreases, indicating that the healing temperature cannot be excessive. Once the temperature limitation where the rheological diffusion of rejuvenated asphalt is exceeded, the recoverability will be seriously affected. Figure 15 demonstrates the fatigue life of each rejuvenated asphalt when considering rheological recovery compensation. When the rheological recovery of rejuvenated asphalt is unconsidered, RWRO@37 shows the best fatigue life, while REVO@8182 is the worst. However, there is a change in the evaluation results when the rheological recovery compensation is considered, where the fatigue life of rejuvenated asphalt with RWRO@37 remains the best, while that with RWRO@55 becomes the worst, with the evaluation results dissimilar to the initial ones after five rheological restoration cycles.  Figure 15 demonstrates the fatigue life of each rejuvenated asphalt when considering rheological recovery compensation. When the rheological recovery of rejuvenated asphalt is unconsidered, RWRO@37 shows the best fatigue life, while REVO@8182 is the worst. However, there is a change in the evaluation results when the rheological recovery compensation is considered, where the fatigue life of rejuvenated asphalt with RWRO@37 remains the best, while that with RWRO@55 becomes the worst, with the evaluation results dissimilar to the initial ones after five rheological restoration cycles. Therefore, with the foregoing analysis, it is essential to comprehensively consider the influence of rheological recovery when evaluating the fatigue life of rejuvenated asphalt, making the evaluation results more compatible with the practical circumstances of rejuvenated asphalt pavement.

Conclusions
In this paper, the fatigue loading of rejuvenated asphalt was performed with DSR, and the applicability of commonly used fatigue life evaluation indexes was discussed. Additionally, the fatigue properties of RWRO and REVO were analyzed, coupled with the response to internal and external influencing factors based on our previous research. The conclusions are as follows: (1) Np20 and Nf50 are unaffected by the type of rejuvenator, loading mode and loading level, with excellent objectivity and applicability, and the correlation between the two in- Therefore, with the foregoing analysis, it is essential to comprehensively consider the influence of rheological recovery when evaluating the fatigue life of rejuvenated asphalt, making the evaluation results more compatible with the practical circumstances of rejuvenated asphalt pavement.

Conclusions
In this paper, the fatigue loading of rejuvenated asphalt was performed with DSR, and the applicability of commonly used fatigue life evaluation indexes was discussed. Additionally, the fatigue properties of RWRO and REVO were analyzed, coupled with the response to internal and external influencing factors based on our previous research. The conclusions are as follows: (1) N p20 and N f50 are unaffected by the type of rejuvenator, loading mode and loading level, with excellent objectivity and applicability, and the correlation between the two indexes is obvious. Moreover, N p20 corresponds to the mutagenesis of phase angle and microcrack development point, which possesses good physical significance. In this paper, N p20 is recommended as the fatigue life evaluation index for rejuvenated asphalt.
(2) The fatigue life of rejuvenated asphalt decreases with loading frequency and loading level, but the WRO rejuvenator shows better fatigue modification ability. The fatigue life of rejuvenated asphalt prepared by WRO rejuvenator is better than that of REVO, particularly at high loading frequencies and loading levels.
(3) The overall fatigue life of RWRO rejuvenated asphalt increases with the masticoil ratio. Additionally, there is no continuous decrease in fatigue life of RWRO@55 as loading frequency increases, with a slight increase occurring at high loading frequency. Consequently, the optimum mastic-oil ratio recommended in this paper is 5:5.
(4) The fatigue life of rejuvenated asphalt can be restored under certain conditions, but the healing temperature should be controlled. The fatigue recovery effect of RWRO at an initial healing temperature of 50 • C can achieve that of REVO. Meanwhile, the fatigue performance evaluation of rejuvenated asphalt needs to consider the influence of rheological recovery and establish an evaluation system considering rheological recovery.  Institutional Review Board Statement: Not applicable.

Data Availability Statement:
The data presented in this study are available on request from the corresponding author.

Conflicts of Interest:
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.